# Evaluate integers with exponents.

What if the number is

*negative*?

Example 1 : (-2)

^{2}= -2 •-2 = 4

Example 2 : (-3)

^{3}= -3 •-3 •-3 = -27

Let's practice with variables.

Example 3 : if y = -3 find y

^{2}.

Substitute (-3) in for y.

^{2}= (-3)

^{2}

Expand

^{2}= -3 •-3 = 9

Therefore

^{2}= 9

Example 4 : find -x

^{2}when x = 7.

Substitute (7) in for x.

^{2}= - (7)

^{2}

Expand

^{2}= -1 •7 •7 = -49

Therefore

^{2}= -49

Example 5 : find x

^{5}if x = -5.

Substitute (-5) in for x.

^{5}= (-5)

^{3}

Expand

^{5}= -5 •-5 •-5 •-5 •-5= -3125

Therefore

^{5}= -3125

Example 6: Compare (-4)

^{2}to -4

^{2}

(-4)

^{2}= (-4)(-4)=16

^{2}=(-1)(4)(4) = 16

**. It is usually best to put negative numbers in parentheses, especially if you are going to use the calculator to make your calculations. Remember that -x means (-1)x.**

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